Applied Mathematical Modelling最新文献_第8页

Using proper orthogonal decomposition for data-driven model error correction for heat conduction problems with uncertain boundary conditions

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-05-12 DOI: 10.1016/j.apm.2025.116181

Karl G. Hellberg, P. Stephan Heyns, Johann Wannenburg

{"title":"Using proper orthogonal decomposition for data-driven model error correction for heat conduction problems with uncertain boundary conditions","authors":"Karl G. Hellberg, P. Stephan Heyns, Johann Wannenburg","doi":"10.1016/j.apm.2025.116181","DOIUrl":"10.1016/j.apm.2025.116181","url":null,"abstract":"<div><div>In applications such as digital twins, models must combine high accuracy with low computational cost. Reduced order modelling, often involving dimensionality reduction, together with data-driven model error correction, can make it possible to achieve both objectives. We focus on the use of proper orthogonal decomposition (POD), together with sample solutions from the available physics-based models, to perform dimensionality reduction for reduced-order models, and on considerations that must be made when these are to be corrected using a data-driven model. If only sample solutions from the best available full-order model are used in the POD procedure, the accuracy of the corrected models may be limited before the data-driven error-correcting model is even trained, because the true solution fields cannot be represented in the POD subspace. To overcome this problem, we propose expanding the POD subspace based on sample solutions reflecting anticipated uncertainty in the full order model. The proposed method is demonstrated using two examples involving heat conduction with uncertain boundary conditions. The results show that the expanded POD subspaces allow the corrected models to outperform the original full-order model, while the same is not true for the original POD subspaces.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"146 ","pages":"Article 116181"},"PeriodicalIF":4.4,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143943480","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Mechanism of toughening due to local twinning transformation 局部孪晶相变增韧机理

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-05-12 DOI: 10.1016/j.apm.2025.116192

Chao Tang , Jiyang Yan , Biao Wang , Lifeng Ma

{"title":"Mechanism of toughening due to local twinning transformation","authors":"Chao Tang , Jiyang Yan , Biao Wang , Lifeng Ma","doi":"10.1016/j.apm.2025.116192","DOIUrl":"10.1016/j.apm.2025.116192","url":null,"abstract":"<div><div>Deformation twins near the crack tip of metals and alloys significantly affect the crack fracture toughness. To study this particular deformation of metals or alloys, in this article, a new analytical model of a semi-infinite crack interacting with a local twinning domain near the crack tip is developed based on Kolosov-Muskhelishvili complex potentials and Green's function method. In the model, the twinning domain as a stress source is equivalent to an assembly of edge dislocations, and thus the dislocation-crack interaction problem is analytically solved. Consequently, the stress intensity factor at the crack tip merely due to the twinning domain is derived for type-I and type-II modes and the influence of deformation twinning parameters on the fracture toughness as well as the shielding/anti-shielding effect is comprehensively analyzed. It is found that the presence of the twinning domain may lead significant stress concentration at the crack tip when its orientation angle of the domain is taken with some specific value. This study provides a new insight into the toughening mechanism of twinning transformation.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"146 ","pages":"Article 116192"},"PeriodicalIF":4.4,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Asymmetric nonlinear instability of thermally induced microsize arches having dissimilar boundary conditions incorporating strain gradient tensors 含应变梯度张量的不同边界条件下热致微尺寸拱的非对称非线性不稳定性

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-05-11 DOI: 10.1016/j.apm.2025.116187

Saeid Sahmani , Timon Rabczuk , Jeong-Hoon Song , Babak Safaei

{"title":"Asymmetric nonlinear instability of thermally induced microsize arches having dissimilar boundary conditions incorporating strain gradient tensors","authors":"Saeid Sahmani , Timon Rabczuk , Jeong-Hoon Song , Babak Safaei","doi":"10.1016/j.apm.2025.116187","DOIUrl":"10.1016/j.apm.2025.116187","url":null,"abstract":"<div><div>In the featured research investigation, the roles of different microstructural-dependent strain gradient tensors in the asymmetric nonlinear instability characteristics attributed to microsize arches having dissimilar boundary conditions subjected to thermal ambience amalgamated with a mechanical concentrated load applied in various positions. It is supposed that the microsize arches are constructed by functionally graded porous material reinforced by graphene platelets at nanoscale. The individual nonlinear dominate equations are extracted based upon the exponential shear deformation formulations of curved beam comprising modified strain gradient theory (MSGT) of continuum mechanics. Thereupon, the isogeometric analysis (IGA) employing non-uniform rational B-Splines is carried out to discretize and interpret the nonlinear problem on the basis of the displacement conformation in terms of the nodal values. Knot insertion along with the multiplication are considered to describe the discontinuities of internal forces caused by the applied mechanical concentrated load. It is demonstrated that by moving the locus of the applied concentrated load nearer to the simply supported end in comparison with the clamped one, the detected limit points reduce from four number to two number. In other words, the multitude of limit points allocated to the MSGT-based nonlinear asymmetric instability of FGP microsize arches relies upon the position of the imposed concentrated load. Moreover, it is discovered that by shifting the imposed concentrated load to a locus more neighboring to the clamped end, the prominence associated with the effect of microscale gradient tensors on the limit values increases, while by shifting it to a locus more neighboring to the simply supported end, this prominence tends to be reduced.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"146 ","pages":"Article 116187"},"PeriodicalIF":4.4,"publicationDate":"2025-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144068472","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Hyperelastic model of hard-magnetic soft beams driven by the external magnetic fields 外加磁场驱动下硬磁软梁的超弹性模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-05-09 DOI: 10.1016/j.apm.2025.116190

Mingqi Lu, Saifei Zhang, Shujun Li

{"title":"Hyperelastic model of hard-magnetic soft beams driven by the external magnetic fields","authors":"Mingqi Lu, Saifei Zhang, Shujun Li","doi":"10.1016/j.apm.2025.116190","DOIUrl":"10.1016/j.apm.2025.116190","url":null,"abstract":"<div><div>Due to the hyperelastic behaviors of matrix materials, hard-magnetic soft beams driven by the external magnetic fields will exhibit large and complex deformation. To accurately and reasonably calculate the mechanical properties of this structure, a theoretical model that can simulate both the axial and bending deformation entirely based on the hyperelastic mechanics is needed for current applications. According to the finite deformation theory, a hard-magnetic soft beam model completely based on the hyperelastic material theory is proposed and its total energy equation of the hard-magnetic soft beam can be obtained. An iterative solution algorithm is also proposed to solve the deformation of the beam and an adaptive genetic algorithm is presented to enhance the solution efficiency. By comparing with the previous research results, the validity of the model is verified. On this basis, the structural responses of hard-magnetic soft beams driven by external magnetic fields are analyzed. Some new dimensionless quantities are defined to describe the structural properties and deformation. It is found that when the direction angle of the external magnetic field is not greater than 90°, the three dimensionless quantities: the dimensionless tangent angle of the cantilever end, the dimensionless secant angle of the cantilever end and the dimensionless distance between the two ends of the beam are all independent on the direction angle of the external magnetic field. From the study, it can also be concluded that the greater direction angle of the external magnetic field will result in the closer distance between the two ends of the beam and reduce the range extension reached by the cantilever end of the beam.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"146 ","pages":"Article 116190"},"PeriodicalIF":4.4,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144072136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fixed sampling distribution determination method for structural reliability assessment with parameter uncertainty 参数不确定结构可靠性评估的固定抽样分布确定方法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-05-09 DOI: 10.1016/j.apm.2025.116191

Yu Leng , Yi-Hua Fei , You-Bao Jiang , Lei Wang , Chao-Huang Cai

{"title":"Fixed sampling distribution determination method for structural reliability assessment with parameter uncertainty","authors":"Yu Leng , Yi-Hua Fei , You-Bao Jiang , Lei Wang , Chao-Huang Cai","doi":"10.1016/j.apm.2025.116191","DOIUrl":"10.1016/j.apm.2025.116191","url":null,"abstract":"<div><div>The uncertainty of distribution parameters significantly impacts the outcomes of structural reliability analysis. Considering these uncertainties, the failure probability becomes uncertain and the estimation of its distribution often encounters burdensome computational effort. In this paper, to avoid repeated sampling of input random vector and performance function calls, an efficient quantitative estimation method for determining the distribution and quantiles of failure probability is developed through fixing the sampling distribution of input random vector. The fixed sampling distribution is innovatively designed to cover the majority of important failure domains across varying distribution parameter values, after investigating the propagation relation of uncertainty between distribution parameters and design point. Using only one sample set of input vector and iterating the weights associated with the uncertain distribution parameters, the distribution of failure probability can be obtained. In the proposed method, the repeated reliability analysis is avoided and the computational effort approximates that of a single reliability analysis. The efficiency and accuracy of the method are verified by four examples involving unimodal/bimodal distribution, low/high reliability, low/high variability, and nonlinear/high-dimensional performance functions.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"146 ","pages":"Article 116191"},"PeriodicalIF":4.4,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144072483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An adaptive high-order stochastic perturbation collocation method for uncertainty quantification and propagation 不确定性量化与传播的自适应高阶随机摄动配置方法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-05-08 DOI: 10.1016/j.apm.2025.116185

Ke Zhao, Feng Wu, Xuanlong Wu, Xiaopeng Zhang, Yuxiang Yang

{"title":"An adaptive high-order stochastic perturbation collocation method for uncertainty quantification and propagation","authors":"Ke Zhao, Feng Wu, Xuanlong Wu, Xiaopeng Zhang, Yuxiang Yang","doi":"10.1016/j.apm.2025.116185","DOIUrl":"10.1016/j.apm.2025.116185","url":null,"abstract":"<div><div>In this paper, an adaptive high-order stochastic perturbation collocation method is proposed with the aim of effectively quantifying and accurately propagating uncertainty in engineering problems. By using the stochastic perturbation theory, this proposed method first performs a seventh-order perturbation expansion, and then combines the collocation method to cleverly construct a non-intrusive calculation format of the seventh-order perturbation expansion. This proposed format avoids the derivation of the stiffness matrix and exhibits the characteristic of a simple and unified form for different problems. In addition, an adaptive point selection method is strategically introduced, which can identify the perturbation terms that have a greater effect on the statistical characteristics of the responses and disregard the perturbation terms that have a lesser effect on them, thus achieving more efficient uncertainty analysis. In combination with the proposed method and the maximum entropy method, the numerical calculation format for the probability density function of the stochastic response is established, so as to fully and intuitively describe the stochastic characteristics of the responses. Through four numerical examples, the proposed method is compared with various uncertainty methods. The results demonstrate that the adaptive seventh-order stochastic perturbation collocation method has the characteristics of higher accuracy and greater efficiency. Especially for the examples with large coefficient of variation of the response, such as those with a coefficient of variation greater than 0.3, the proposed method can also provide the results with high accuracy.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"146 ","pages":"Article 116185"},"PeriodicalIF":4.4,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143946954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Integration of machine constraint learning methods within optimization models 优化模型中机器约束学习方法的集成

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-05-08 DOI: 10.1016/j.apm.2025.116184

F. Hooshmand, M. Nikoomanesh

{"title":"Integration of machine constraint learning methods within optimization models","authors":"F. Hooshmand, M. Nikoomanesh","doi":"10.1016/j.apm.2025.116184","DOIUrl":"10.1016/j.apm.2025.116184","url":null,"abstract":"<div><div>One important aspect of the connection between optimization models and machine learning is “constraint learning”, which involves deriving mathematical expressions for the objective function and constraints of optimization models, particularly when explicit expressions for these components are unavailable. In such situation, objective function or constraints can be learned from a labeled dataset using machine learning algorithms and then incorporated into the optimization model. To the best of our knowledge, support vector machine with RBF kernel, linear and nonlinear twin support vector machine and K-nearest-neighbors approaches have not yet been applied for constraint learning. To address this research gap, we focus on embedding functions learned through these approaches into optimization models, and discuss the necessary linearization techniques. Moreover, as the K-nearest-neighbors approach leads to a large-scale optimization model, a heuristic algorithm is proposed to solve it efficiently. The performance of the proposed approaches are evaluated on two real-world applications in the context of optimizing food basket compositions and scholarship allocation.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"146 ","pages":"Article 116184"},"PeriodicalIF":4.4,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144072137","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Gradient damage models for studying material behavior in underground mining

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-05-07 DOI: 10.1016/j.apm.2025.116171

Eric Bonnetier , Sergio Gaete , Alejandro Jofre , Rodrigo Lecaros , Gino Montecinos , Jaime H. Ortega , Javier Ramírez-Ganga , Jorge San Martín

{"title":"Gradient damage models for studying material behavior in underground mining","authors":"Eric Bonnetier , Sergio Gaete , Alejandro Jofre , Rodrigo Lecaros , Gino Montecinos , Jaime H. Ortega , Javier Ramírez-Ganga , Jorge San Martín","doi":"10.1016/j.apm.2025.116171","DOIUrl":"10.1016/j.apm.2025.116171","url":null,"abstract":"<div><div>Block caving is a technique employed in underground mining for the extraction of minerals. It utilizes the force of gravity to facilitate the controlled fracturing of rock, thereby enabling the efficient retrieval of ores from the mine. In our pursuit of numerical simulation of this extraction process and a more profound comprehension of its influence on the mine environment, we examine variational damage models founded upon the gradient damage model proposed by Pham and Marigo in 2010. However, the original theory of Pham and Marigo is insufficient for accurately modeling the complexities of large-scale problems where compression-induced damage is pervasive throughout the rock mass and impedes the recovery of subsidence in the cavity ceiling. To address this limitation, we introduce a variation of the model. This variation incorporates an anisotropic dependence of the damage criterion on the spherical and deviatoric components of the stress tensor, effectively controlling compression damage. The simulations demonstrate the effectiveness of the proposed extension in accurately representing the observed damage in the rock mass and the expected subsidence in a block-caving operation. The new model provides a more comprehensive and realistic representation of the underground mining process, contributing to improved predictive capabilities and more informed mining decision-making.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"146 ","pages":"Article 116171"},"PeriodicalIF":4.4,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143943426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nonlinear dynamics of bistable rectangular asymmetric composite laminate: Theory, simulation and experiment

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-05-07 DOI: 10.1016/j.apm.2025.116183

Jianfei Wang , Peiliang Zhang , Xinlei Li , Dongxing Cao

{"title":"Nonlinear dynamics of bistable rectangular asymmetric composite laminate: Theory, simulation and experiment","authors":"Jianfei Wang , Peiliang Zhang , Xinlei Li , Dongxing Cao","doi":"10.1016/j.apm.2025.116183","DOIUrl":"10.1016/j.apm.2025.116183","url":null,"abstract":"<div><div>Rectangular bistable composite laminate is an asymmetric double potential well system, which leads to inconsistent mechanical properties between the two stable states and diverse dynamic phenomena that rarely observed. It is interesting yet challenging to reveal the nonlinear effect of asymmetric geometry on the structural dynamic design. This study investigates the nonlinear analysis of rectangular asymmetric bistable composite laminate with the stacking sequence of [0<sub>n</sub>/90<sub>n</sub>], a subject that received considerably less attention compared to its square counterparts, and most existing research has predominantly concentrated on static properties and dynamic snap-through behaviors. The present study shifts the focus to the variation of the overall dynamic characteristics with respect to excitation level and frequency, and emphasizes the conditions where dynamic snap-through occurs, thereby contributing to the promotion of configuration control in the realm of deformable structures. Additionally, the stacking sequence of [0<sub>m</sub>/90<sub>n</sub>] is considered complementally, with a particular focus on the asymmetric numbers of oriented layers with the different angle—a configuration that has not been previously explored. The investigation herein provides significant potentials for the inspiring applications of morphing structure and energy harvesting.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"146 ","pages":"Article 116183"},"PeriodicalIF":4.4,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143943474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A drone-assisted last-mile delivery framework for shipment prioritization in post-disaster and high demand periods

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-05-07 DOI: 10.1016/j.apm.2025.116175

Omar Abou Kasm , Meredith Raymer , Ali Diabat

{"title":"A drone-assisted last-mile delivery framework for shipment prioritization in post-disaster and high demand periods","authors":"Omar Abou Kasm , Meredith Raymer , Ali Diabat","doi":"10.1016/j.apm.2025.116175","DOIUrl":"10.1016/j.apm.2025.116175","url":null,"abstract":"<div><div>The aftermath of a disaster can observe increased demands for online purchases and deliveries due to a decreased local supply. The increased demands may then induce delays in item delivery. Natural disasters may also result in epidemics and critical medical situations. Thus, the deliveries can include both life-essential items, such as medicine or medical equipment, and non-essential items, such as toys or decor products. Similar circumstances may be induced by other abnormal situations, such as pandemics or wars. It is then important to prioritize shipments to ensure early delivery of life-essential products at the expense of delaying non-essential items. In this work, we introduce a framework to prioritize shipments with application on drone-assisted last-mile deliveries. While the framework is general and can be used in different last-mile delivery types, the selection of drone-assisted deliveries is important for post-disaster situations to allow for contactless deliveries in case of epidemic outbreaks, and to reach destinations inaccessible by vehicles due to damaged roads and infrastructure. We consider different priority levels ranging from high priority to low priority items. High priority items must be delivered as soon as possible, medium priority items must be delivered within a certain time frame, and low priority items can be delivered after the high and medium priority conditions are met. We introduce a mixed integer program to model the drone-assisted last-mile deliveries with the prioritization scheme and propose a solution framework to systematically solve the problem. Finally, we illustrate the benefits of the model through numerical cases and simulations, and discuss its implications.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"146 ","pages":"Article 116175"},"PeriodicalIF":4.4,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143943479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0